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Finding the Fourth Proportional to 101,857.14, 152,609.31 and 55,142.10

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Solution

The fourth proportional to 101,857.14, 152,609.31 and 55,142.10 is: 82,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,857.14 : 152,609.31 = 55,142.10 : x
  2. Step 2: Convert to fraction form
    101,857.14/152,609.31 = 55,142.10/x
  3. Step 3: Cross multiply
    101,857.14x = 152,609.31 × 55,142.10
  4. Step 4: Simplify right side
    101,857.14x = 8,415,197,832.95
  5. Step 5: Solve for x
    x = 8,415,197,832.95/101,857.14
  6. Step 6: Final answer
    x = 82,617.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.